Variational principle for the Wheeler–Feynman electrodynamics

DOI10.1063/1.3154509zbMath1216.78005arXiv0901.1077OpenAlexW2099570183MaRDI QIDQ3069112

Jayme De Luca

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1077

zbMATH Keywords

Banach spacesperturbation theoryelectrodynamicscelestial mechanicsvariational techniqueslight conesmany-body problems

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Variational principles of physics (49S05)

Related Items (8)

Equations of motion for variational electrodynamics ⋮ Lorentz-equivariant flow with four delays of neutral type ⋮ On the existence of dynamics in Wheeler-Feynman electromagnetism ⋮ Global solutions to the electrodynamic two-body problem on a straight line ⋮ Finite element boundary value integration of Wheeler-Feynman electrodynamics ⋮ Does Bohm's quantum force have a classical origin? ⋮ Solutions of the Wheeler-Feynman equations with discontinuous velocities ⋮ Chemical principle and PDE of variational electrodynamics

Cites Work

• A mixed neutral system
• Discrete mechanics and variational integrators
• Geometric integration of the electromagnetic two-body problem
• Covariant Hamiltonian for the electromagnetic two-body problem
• A Minimizing Property of Keplerian Orbits
• Numerical Methods for Delay Differential Equations
• Electromagnetic Two-Body Problem
• Classical theory of radiating electrons
• Classical Electrodynamics in Terms of Direct Interparticle Action

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